199753728000 has 368 divisors, whose sum is σ = 670014818304. Its totient is φ = 52848230400.

The previous prime is 199753727969. The next prime is 199753728011. The reversal of 199753728000 is 827357991.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1572863937 + ... + 1572864063.

Almost surely, 2^199753728000 is an apocalyptic number.

199753728000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199753728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335007409152).

199753728000 is an abundant number, since it is smaller than the sum of its proper divisors (470261090304).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

199753728000 is an frugal number, since it uses more digits than its factorization.

199753728000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 51.

The spelling of 199753728000 in words is "one hundred ninety-nine billion, seven hundred fifty-three million, seven hundred twenty-eight thousand".